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Finding the Fourth Proportional to 606.23, 836.64 and 340.70

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Solution

The fourth proportional to 606.23, 836.64 and 340.70 is: 470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.23 : 836.64 = 340.70 : x
  2. Step 2: Convert to fraction form
    606.23/836.64 = 340.70/x
  3. Step 3: Cross multiply
    606.23x = 836.64 × 340.70
  4. Step 4: Simplify right side
    606.23x = 285,039.06
  5. Step 5: Solve for x
    x = 285,039.06/606.23
  6. Step 6: Final answer
    x = 470.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.